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Finding the Fourth Proportional to 3,964.92, 5,471.80 and 2,549.44

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Solution

The fourth proportional to 3,964.92, 5,471.80 and 2,549.44 is: 3,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.92 : 5,471.80 = 2,549.44 : x
  2. Step 2: Convert to fraction form
    3,964.92/5,471.80 = 2,549.44/x
  3. Step 3: Cross multiply
    3,964.92x = 5,471.80 × 2,549.44
  4. Step 4: Simplify right side
    3,964.92x = 13,950,025.79
  5. Step 5: Solve for x
    x = 13,950,025.79/3,964.92
  6. Step 6: Final answer
    x = 3,518.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.